Question

what is the surface area of this cylinder? round your answer to the nearest hundredth. 3 ft 3 ft square feet

Explanation:

Step1: Recall surface area formula

The total surface area of a cylinder is $SA = 2\pi r^2 + 2\pi rh$, where $r$ is radius, $h$ is height.

Step2: Identify given values

$r = 3$ ft, $h = 3$ ft

Step3: Calculate area of two bases

$2\pi r^2 = 2\pi (3)^2 = 2\pi \times 9 = 18\pi$

Step4: Calculate lateral surface area

$2\pi rh = 2\pi \times 3 \times 3 = 18\pi$

Step5: Sum the two areas

$SA = 18\pi + 18\pi = 36\pi$

Step6: Compute decimal value and round

$36\pi \approx 36 \times 3.14159265 = 113.0973354$
Round to nearest hundredth: $113.10$

Answer:

113.10 square feet